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24edo: Difference between revisions

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! Approximate Ratios<ref>based on treating 24-EDO as a 2.3.11.17.19 [[subgroup]]; other approaches are possible.</ref>
! Approximate Ratios<ref>based on treating 24-EDO as a 2.3.11.17.19 [[subgroup]]; other approaches are possible.</ref>
! colspan="3" | [[ups and downs notation]]
! colspan="3" | [[ups and downs notation]]
![[24edo solfege|Solfege]]
|-
|-
| 0
| 0
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| unison
| unison
| C
| C
|Do
|-
|-
| 1
| 1
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| up-unison, downminor 2nd
| up-unison, downminor 2nd
| ^C, vDb
| ^C, vDb
|Da/Ru
|-
|-
| 2
| 2
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| aug unison, minor 2nd
| aug unison, minor 2nd
| C#, Db
| C#, Db
|Ro
|-
|-
| 3
| 3
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| mid 2nd
| mid 2nd
| vD
| vD
|Ra
|-
|-
| 4
| 4
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| major 2nd
| major 2nd
| D
| D
|Re
|-
|-
| 5
| 5
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| upmajor 2nd, downminor 3rd
| upmajor 2nd, downminor 3rd
| ^D, vEb
| ^D, vEb
|Ri/Mu
|-
|-
| 6
| 6
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| minor 3rd
| minor 3rd
| Eb
| Eb
|Mo
|-
|-
| 7
| 7
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| mid 3rd
| mid 3rd
| vE
| vE
|Ma
|-
|-
| 8
| 8
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| major 3rd
| major 3rd
| E
| E
|Me
|-
|-
| 9
| 9
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| upmajor 3rd, down-4th
| upmajor 3rd, down-4th
| ^E, vF
| ^E, vF
|Mi/Fu
|-
|-
| 10
| 10
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| fourth
| fourth
| F
| F
|Fo
|-
|-
| 11
| 11
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| up-4th, mid-4th
| up-4th, mid-4th
| ^F
| ^F
|Fa/Su
|-
|-
| 12
| 12
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| aug 4th, dim 5th
| aug 4th, dim 5th
| F#, Gb
| F#, Gb
|Fe/So
|-
|-
| 13
| 13
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| down-5th, mid-5th
| down-5th, mid-5th
| vG
| vG
|Fi/Sa
|-
|-
| 14
| 14
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| fifth
| fifth
| G
| G
|Se
|-
|-
| 15
| 15
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| up-fifth, downminor 6th
| up-fifth, downminor 6th
| ^G, vAb
| ^G, vAb
|Si/Lu
|-
|-
| 16
| 16
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| minor 6th
| minor 6th
| Ab
| Ab
|Lo
|-
|-
| 17
| 17
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| mid 6th
| mid 6th
| vA
| vA
|La
|-
|-
| 18
| 18
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| major 6th
| major 6th
| A
| A
|Le
|-
|-
| 19
| 19
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| upmajor 6th, downminor 7th
| upmajor 6th, downminor 7th
| ^A, vBb
| ^A, vBb
|Li/Tu
|-
|-
| 20
| 20
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| minor 7th
| minor 7th
| Bb
| Bb
|To
|-
|-
| 21
| 21
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| mid 7th
| mid 7th
| vB
| vB
|Ta
|-
|-
| 22
| 22
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| major 7th
| major 7th
| B
| B
|Te
|-
|-
| 23
| 23
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| upmajor 7th, down-8ve
| upmajor 7th, down-8ve
| ^B, vC
| ^B, vC
|Ti/Du
|-
|-
| 24
| 24
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| perfect 8ve
| perfect 8ve
| C
| C
|Do
|}
|}


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<div class="external-image-warning" style="background-color:#f8f9fa; border: 1px solid #eaecf0; padding-left: 0.5em; padding-right:0.5em; display:inline-block">
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External image: http://upload.wikimedia.org/wikipedia/commons/thumb/1/1b/Arabic_music_notation_half_flat.svg/9px-Arabic_music_notation_half_flat.svg.png<br>
External image: [https://upload.wikimedia.org/wikipedia/commons/thumb/1/1b/Arabic_music_notation_half_flat.svg/9px-Arabic_music_notation_half_flat.svg.png http://upload.wikimedia.org/wikipedia/commons/thumb/1/1b/Arabic_music_notation_half_flat.svg/9px-Arabic_music_notation_half_flat.svg.png]<br>
:<small><b>WARNING</b>: MediaWiki doesn't have very good support for external images.</small><br>
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:<small>Furthermore, since external images can break, we recommend that you replace the above with a local copy of the image.</small>
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<div class="external-image-warning" style="background-color:#f8f9fa; border: 1px solid #eaecf0; padding-left: 0.5em; padding-right:0.5em; display:inline-block">
<div class="external-image-warning" style="background-color:#f8f9fa; border: 1px solid #eaecf0; padding-left: 0.5em; padding-right:0.5em; display:inline-block">
External image: http://upload.wikimedia.org/wikipedia/commons/thumb/1/1b/Arabic_music_notation_half_flat.svg/9px-Arabic_music_notation_half_flat.svg.png<br>
External image: [https://upload.wikimedia.org/wikipedia/commons/thumb/1/1b/Arabic_music_notation_half_flat.svg/9px-Arabic_music_notation_half_flat.svg.png http://upload.wikimedia.org/wikipedia/commons/thumb/1/1b/Arabic_music_notation_half_flat.svg/9px-Arabic_music_notation_half_flat.svg.png]<br>
:<small><b>WARNING</b>: MediaWiki doesn't have very good support for external images.</small><br>
:<small><b>WARNING</b>: MediaWiki doesn't have very good support for external images.</small><br>
:<small>Furthermore, since external images can break, we recommend that you replace the above with a local copy of the image.</small>
:<small>Furthermore, since external images can break, we recommend that you replace the above with a local copy of the image.</small>
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<div class="external-image-warning" style="background-color:#f8f9fa; border: 1px solid #eaecf0; padding-left: 0.5em; padding-right:0.5em; display:inline-block">
<div class="external-image-warning" style="background-color:#f8f9fa; border: 1px solid #eaecf0; padding-left: 0.5em; padding-right:0.5em; display:inline-block">
External image: http://upload.wikimedia.org/wikipedia/commons/thumb/1/1b/Arabic_music_notation_half_flat.svg/9px-Arabic_music_notation_half_flat.svg.png<br>
External image: [https://upload.wikimedia.org/wikipedia/commons/thumb/1/1b/Arabic_music_notation_half_flat.svg/9px-Arabic_music_notation_half_flat.svg.png http://upload.wikimedia.org/wikipedia/commons/thumb/1/1b/Arabic_music_notation_half_flat.svg/9px-Arabic_music_notation_half_flat.svg.png]<br>
:<small><b>WARNING</b>: MediaWiki doesn't have very good support for external images.</small><br>
:<small><b>WARNING</b>: MediaWiki doesn't have very good support for external images.</small><br>
:<small>Furthermore, since external images can break, we recommend that you replace the above with a local copy of the image.</small>
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|-
|-
|[[File:200px-Koron_sign.svg.png|40px|left]]
|[[File:200px-Koron_sign.svg.png|40px|left]]
|'''Koron''' ([http://en.wikipedia.org/wiki/Koron_%28music%29 en] <nowiki>|</nowiki> [http://fa.wikipedia.org/wiki/%DA%A9%D8%B1%D9%86 fa]) = quarter-tone flat
|'''Koron''' ([https://en.wikipedia.org/wiki/Koron_%28music%29 en] <nowiki>|</nowiki> [https://fa.wikipedia.org/wiki/%DA%A9%D8%B1%D9%86 fa]) = quarter-tone flat
|}
|}


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|-
|-
|[[File:200px-Sori_sign.svg.png|40px|left]]
|[[File:200px-Sori_sign.svg.png|40px|left]]
|'''Sori''' ([http://fa.wikipedia.org/wiki/%D8%B3%D8%B1%DB%8C_%28%D9%85%D9%88%D8%B3%DB%8C%D9%82%DB%8C%29 fa]) = quarter-tone sharp
|'''Sori''' ([https://fa.wikipedia.org/wiki/%D8%B3%D8%B1%DB%8C_%28%D9%85%D9%88%D8%B3%DB%8C%D9%82%DB%8C%29 fa]) = quarter-tone sharp
|}
|}


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<span style="">[http://micro.soonlabel.com/24et/quarterpicnic.mp3 Quarterpicnic]</span> by [[Chris Vaisvil]]
<span style="">[http://micro.soonlabel.com/24et/quarterpicnic.mp3 Quarterpicnic]</span> by [[Chris Vaisvil]]


[http://micro.soonlabel.com/gene_ward_smith/Others/BeDell/Quarter%20Tone%20Prelude%20for%20two%20Harps.mp3 Quarter Tone Prelude For Two Harps] by [http://soundcloud.com/cerbeus-1/quarter-tone-prelude-for-two Nathan BeDell]
[http://micro.soonlabel.com/gene_ward_smith/Others/BeDell/Quarter%20Tone%20Prelude%20for%20two%20Harps.mp3 Quarter Tone Prelude For Two Harps] by [https://soundcloud.com/cerbeus-1/quarter-tone-prelude-for-two Nathan BeDell]


<span style="">[http://micro.soonlabel.com/24et/daily20111021-fretless-1.mp3 Fretless Chrome 1]</span> and <span style="">[http://micro.soonlabel.com/24et/daily20111021-fretless-2.mp3 Fretless Chrome 2]</span> by [http://chrisvaisvil.com/?p=1477 Chris Vaisvil]
<span style="">[http://micro.soonlabel.com/24et/daily20111021-fretless-1.mp3 Fretless Chrome 1]</span> and <span style="">[http://micro.soonlabel.com/24et/daily20111021-fretless-2.mp3 Fretless Chrome 2]</span> by [http://chrisvaisvil.com/?p=1477 Chris Vaisvil]


[http://micro.soonlabel.com/gene_ward_smith/Others/Freivald/Lament.mp3 Lament] by [http://soundcloud.com/jdfreivald/lament Jake Freivald]. In the [[freivaldneutral24]] scale.
[http://micro.soonlabel.com/gene_ward_smith/Others/Freivald/Lament.mp3 Lament] by [https://soundcloud.com/jdfreivald/lament Jake Freivald]. In the [[freivaldneutral24]] scale.


[https://soundcloud.com/jdfreivald/mo-happy-happy Mo - Happy - Happy] [http://micro.soonlabel.com/gene_ward_smith/Others/Freivald/mo-happy-happy.mp3 play] by Jake Freivald in Neutral[7] (2.3.11 mohajira), 24et tuning
[https://soundcloud.com/jdfreivald/mo-happy-happy Mo - Happy - Happy] [http://micro.soonlabel.com/gene_ward_smith/Others/Freivald/mo-happy-happy.mp3 play] by Jake Freivald in Neutral[7] (2.3.11 mohajira), 24et tuning


[http://www.youtube.com/watch?v=q1Lp8AtKK9o Autumn Winds], [http://www.youtube.com/watch?v=Igxe3DwbFJ4&feature=c4-overview&list=UUvq5bg-LvOS6adpB5efPTyQ Easter Time at Nine], [http://www.youtube.com/watch?v=z_3uhA9Cq08&list=UUvq5bg-LvOS6adpB5efPTyQ Waters of Persia] by William Lynch in mohajira, 24et tuning.
[https://www.youtube.com/watch?v=q1Lp8AtKK9o Autumn Winds], [https://www.youtube.com/watch?v=Igxe3DwbFJ4&feature=c4-overview&list=UUvq5bg-LvOS6adpB5efPTyQ Easter Time at Nine], [https://www.youtube.com/watch?v=z_3uhA9Cq08&list=UUvq5bg-LvOS6adpB5efPTyQ Waters of Persia] by William Lynch in mohajira, 24et tuning.


[https://soundcloud.com/mason-l-green/serena Serena], by Mason Green (intro and coda in 24edo, the rest is in 12edo)
[https://soundcloud.com/mason-l-green/serena Serena], by Mason Green (intro and coda in 24edo, the rest is in 12edo)
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[https://www.youtube.com/watch?v=yzvXEMYgHCY Autumn Girl], by Mason Green
[https://www.youtube.com/watch?v=yzvXEMYgHCY Autumn Girl], by Mason Green


"Prométhée enchaîné" by [http://en.wikipedia.org/wiki/Fromental_Hal%C3%A9vy Fromental Halévy] (considered the first mainstream western orchestral composition to use quarter tones.)
"Prométhée enchaîné" by [https://en.wikipedia.org/wiki/Fromental_Hal%C3%A9vy Fromental Halévy] (considered the first mainstream western orchestral composition to use quarter tones.)


"3 Hommages" by [http://en.wikipedia.org/wiki/Georg_Friedrich_Haas Georg Friedrich Haas]
"3 Hommages" by [https://en.wikipedia.org/wiki/Georg_Friedrich_Haas Georg Friedrich Haas]


[http://en.wikipedia.org/wiki/List_of_quarter_tone_pieces List of quartertone pieces on Wikipedia]
[https://en.wikipedia.org/wiki/List_of_quarter_tone_pieces List of quartertone pieces on Wikipedia]


==Practical theory / books==
==Practical theory / books==
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== External links ==
== External links ==
* [http://tonalsoft.com/enc/q/quarter-tone.aspx quarter-tone / 24-edo - Encyclopedia of Microtonal Music Theory] [http://www.webcitation.org/5xeFMH6cd Permalink]
* [http://tonalsoft.com/enc/q/quarter-tone.aspx quarter-tone / 24-edo - Encyclopedia of Microtonal Music Theory] [https://www.webcitation.org/5xeFMH6cd Permalink]
* [http://www.96edo.com/24_EDO.html About 24-EDO] by Shaahin Mohajeri [http://www.webcitation.org/5xeFBNdQW Permalink]
* [http://www.96edo.com/24_EDO.html About 24-EDO] by Shaahin Mohajeri [https://www.webcitation.org/5xeFBNdQW Permalink]
* [https://docs.google.com/file/d/0Bzrl-iLY6DeEVkl1VjBGdEJlOTg/edit Notation and Chord Names for 24-EDO] by William Lynch
* [https://docs.google.com/file/d/0Bzrl-iLY6DeEVkl1VjBGdEJlOTg/edit Notation and Chord Names for 24-EDO] by William Lynch
* [http://www.tonalsoft.com/sonic-arts/darreg/dar8.htm The place of QUARTERTONES in Today's Xenharmonics] by [[Ivor Darreg]]     
* [http://www.tonalsoft.com/sonic-arts/darreg/dar8.htm The place of QUARTERTONES in Today's Xenharmonics] by [[Ivor Darreg]]     
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